Solve the system of equations: 5y + 6x + 7 = 0, 2x + 3y + 9 = 0

Rewrite the equations in standard form:

1. 6x + 5y = -7
2. 2x + 3y = -9

Multiply the second equation by -3 to eliminate x:

1. 6x + 5y = -7
2. -6x - 9y = 27

Add the two equations:

1. -4y = 20
2. y = -5

Substitute y = -5 into the second original equation:

1. 2x + 3(-5) = -9
2. 2x - 15 = -9
3. 2x = 6
4. x = 3

Solution: x = 3, y = -5